NEW YORK — The young Colombian mother who took her own life at a Queens homeless shelter this past weekend was found dead by her teenage son — and he blamed himself for her suicide in a heartbreaking interview with NYPD officers, according to neighbors and city officials. “I heard him talking to the two policemen. He said, ‘It’s my fault,’ ” a migrant who lived next door to the shattered Colombian family at the shelter told the Daily News in Spanish on Tuesday. The 15-year-old boy and his 7-year-old sister had been sent out to play by their mother on Sunday afternoon, according to the neighbor…